Question

А)│x│ = 9, б) -54-x=26, в) x + (-57) = -83

Answer 1

Б) -54-x=26
-x=26+54
-x=80
x=-80
-54-(-80)=26
-54+80=26
26=26
B) x+(-57)=-83
x-57=-83
x=-83+57
x=-26
A) |x|=9
x=9
x=-9. x1=-9 x2=9

Answer 2

Let's solve each of the equations step by step:

a) │x│ = 9:

In this equation, we have the absolute value of x equal to 9. To solve for x, we need to consider two cases: when x is positive and when x is negative.

Case 1: x is positive If x is positive, the equation becomes x = 9.

Case 2: x is negative If x is negative, the equation becomes -x = 9. To isolate x, we multiply both sides of the equation by -1, which changes the sign: -x = 9 Multiply by -1: x = -9

So the solutions to the equation │x│ = 9 are x = 9 and x = -9.

b) -54 - x = 26:

To solve for x, we want to isolate the variable on one side of the equation. Let's start by moving -54 to the other side:

-x = 26 + 54 -x = 80

To solve for x, we need to change the sign of both sides by multiplying them by -1:

x = -80

Therefore, the solution to the equation -54 - x = 26 is x = -80.

c) x + (-57) = -83:

To solve for x, we need to eliminate the parentheses first:

x - 57 = -83

Next, we can isolate x by moving -57 to the other side:

x = -83 + 57 x = -26

Therefore, the solution to the equation x + (-57) = -83 is x = -26.